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Finding the Fourth Proportional to 11,909.64, 17,866.22 and 11,180.68

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Solution

The fourth proportional to 11,909.64, 17,866.22 and 11,180.68 is: 16,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.64 : 17,866.22 = 11,180.68 : x
  2. Step 2: Convert to fraction form
    11,909.64/17,866.22 = 11,180.68/x
  3. Step 3: Cross multiply
    11,909.64x = 17,866.22 × 11,180.68
  4. Step 4: Simplify right side
    11,909.64x = 199,756,488.63
  5. Step 5: Solve for x
    x = 199,756,488.63/11,909.64
  6. Step 6: Final answer
    x = 16,772.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.